Description: The Journal of the American Statistical Association (JASA) has long been
considered the premier journal of statistical science. Science Citation
Index reported JASA was the most highly cited journal in the mathematical
sciences in 1991-2001, with 16,457 citations, more than 50% more than the
next most highly cited journals. Articles in JASA focus on statistical
applications, theory, and methods in economic, social, physical,
engineering, and health sciences and on new methods of statistical
education.

The "moving wall" represents the time period between the last issue
available in JSTOR and the most recently published issue of a journal.
Moving walls are generally represented in years. In rare instances, a
publisher has elected to have a "zero" moving wall, so their current
issues are available in JSTOR shortly after publication.
Note: In calculating the moving wall, the current year is not counted.
For example, if the current year is 2008 and a journal has a 5 year
moving wall, articles from the year 2002 are available.

Terms Related to the Moving Wall

Fixed walls: Journals with no new volumes being added to the archive.

Absorbed: Journals that are combined with another title.

Complete: Journals that are no longer published or that have been
combined with another title.

Abstract

Singular value decompositions are used to study interactions in two-way layouts. In contrast to traditional treatments, emphasis is on description of the nature of the interactions rather than on tests of whether they do or do not exist. The first model considered assumes that the matrix of interactions has rank 1, so in a singular value decomposition of the interactions, only one singular value is not 0. Given that this model holds and interactions are present, normal approximations are obtained under conditions described for the estimates of this singular value and for the corresponding scores for row categories and column categories. Thus approximate confidence intervals can be obtained for the parameters in this singular value decomposition of interactions. In addition, under this model, approximate t and F tests can be constructed for hypotheses that assign specified values to the row and column scores in the singular value decomposition. Results are illustrated in a reanalysis of data previously analyzed by Johnson and Graybill (1972). The model that assumes that the interactions matrix is of rank 1 is also used to test the appropriateness of the scoring system that is associated with Tukey's one degree of freedom for nonadditivity. In addition, models are considered in which the singular value decomposition of the interactions has rank greater than 1, and normal approximations for parameter estimates and approximate t and F tests for hypotheses concerning the scores in the singular value decomposition are derived for these models as well.